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Finding the Fourth Proportional to 5,678.33, 7,836.31 and 3,438.93

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Solution

The fourth proportional to 5,678.33, 7,836.31 and 3,438.93 is: 4,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.33 : 7,836.31 = 3,438.93 : x
  2. Step 2: Convert to fraction form
    5,678.33/7,836.31 = 3,438.93/x
  3. Step 3: Cross multiply
    5,678.33x = 7,836.31 × 3,438.93
  4. Step 4: Simplify right side
    5,678.33x = 26,948,555.23
  5. Step 5: Solve for x
    x = 26,948,555.23/5,678.33
  6. Step 6: Final answer
    x = 4,745.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.